Abstract
Time domain boundary element method of viscoelastic wave propagation problems is presented and some numerical implementations are pointed out. In time domain, the time domain fundamental singular solutions of viscoelastic wave propagation problem cannot given analytically in closed form. If the fundamental singular solution of dynamic viscoelasticity is obtained, the formulation of the boundary integral equation and discretized equation of BEM are directed by the theory of reciprocity as well as elastodynamics. In frequency domain, however, the fundamental singular solutions of viscoleastic wave propagation problems are given analytically in closed form. So, the fundamental singular solutions in time domain are derived from corresponding frequecny domain fundamental singular solutions by Fourier transformation with numerical integration method. In this paper, time domain boundary element method is derived from corresponding frequecny domain boundary element method by Fourier transformation with numerical integration method. The numerical implementations are shown to prove the availability of this numerical method to solve time domain wave propagation problems in dynamic viscoelasticity.
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